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In §3, the sufficient conditions under which the homogeneous linear differential equation with periodic confficients possess nontrivial periodic solutions a...

最后还讨论了当系数为周期函数时方程存在周期解的条件。

The condition for the existence of positive elliptic periodic solution was found using Floquet theory; and the theorem of the existence of positive elliptic periodic solution was proved by the method of upper and lower solutions and homotopy invariance theory of topology degree; then an example was given.

利用Floquet理论得到了该方程的正椭圆周期解存在的条件；然后利用上下解方法和拓扑度的同伦不变性理论，证明了该模型正椭圆周期解的存在性定理，并进行了实例验证。

Dynamical behaviors such as periodic, quasi-periodic and chaotic waveforms are observed on oscilloscope. It is expected that the proposed chaotic sources and their circuit implementations are beneficial to the application of neural networks. 4 A template of Cellular Neural Network is derived aimed at solving second-order hyperbolic wave equations based on space discrete method, a novel alternating recursive algorithm implementation is given.

提出了采用复数神经网络进行FIR滤波器设计的方法，利用复数信号能够同时携带幅度和相位信息的特点，构造了相应的具有复数的状态、偏置输入、输出、网络联接权的复数神经网络，证明了算法的收敛性，给出了网络的电路实现图，这方面工作对于拓展神经网络算法的应用范围和寻求FIR滤波器的设计新方法是有益的。

Through experimental researches, a result is obtained, which is that the periodic variation of water injectivity index is consistent with the periodic variation of injection water quantity in Shengtuo oilfield.

通过试验研究，得出胜坨油田吸水指数的阶段性变化与注水水质的阶段性变化一致的规律。

Software Description: About Integral Scientist Periodic Table, This is a periodic table for professional chemists, educators and students.

Integral Scientist Periodic Table 这是专业的化学家，教育家和学生的元素周期表。

Some conditions for weakly Persistence and extinction are obtained;In the second part, we respectively use C_h space and C_g space theorem to study the existence of periodic solutions of Lotka-Volterra equation with infinite delay, in the end we get the condition of the existense of periodic solutions and estimate the interzone of it.

第二部分利用相空间理论，分别以C_h空间和C_g空间为相空间研究了具有无限时滞的Lotka-Volterra方程周期解的存在性问题，给出了周期解存在的充分条件，并估计出了周期解的存在区间。

By virtue of the invariant manifolds and conservative property of Hamiltonian system, we construct a"switching algorithm"to compute the periodic solution of equation (4) when the dispersion distribution σ is periodic and piecewise constant function.

4运用不变流形的分析方法和哈氏系统的守恒性质，给出了当色散分布σ为周期的分片常数情形计算方程(4)的周期轨的一个"开关算法"。

The property of translate invariant transformation in randomly-perturbed periodic structure is widely extended, owing to the demonstration of its origin from the spectral periodicity of the periodic structure.

4指出无序扰动周期结构中关于局域长度的平移等价变换是扰动前周期结构光谱周期性的结果，从而将该变换推广到所有厚度无序扰动的周期结构。

In the present work,the existence and uniqueness results aboutperiodic boundary value problems for different kinds of the nonlin-ear periodically perturbed nonconservative systems are establishedthrough the discretization technique,under suitable assumptions,by using global inverse function theorem and result about the ex-istence and uniqueness of periodic solution for nonhomogeneouslyfirst order linear periodic boundary value problem.

本文的第一章概述了在讨论原问题解的存在唯一性过程中以及构造和分析相关的数值求解方法时将要用到的全局反函数定理、有关矩阵特征值的若干重要引理、线性常微分方程非齐次周期问题解的存在唯一性定理和单参数影射方法及有关结论，并简单回顾了已有的证明非线性微分方程周期边值问题解的存在唯一性的方法，其中包括谱理论、最大最小化形式方法、摄动技术和全局反函数理论方法，最后，介绍了两类数值求解非线性微分方程问题的方法。

Consisting of the protracting graph of hydrogen-like atom"s angle distributing, computer simulation of the symmetry of molecular orbital and chemical reaction mechanism, showing the molecular point group and symmetry element, computer simulation of molecular vibration, Bravias"s crystal lattice and their transforming, extracting of plane periodic lattice, extracting of solid periodic lattice, close packing of isometrical pellet and the structure of simple mental substance, close packing of unequal pellet and crystal structure of representative ionic crystal, Computer Simulation of Phase Analysis by X-ray Diffraction.

内容包括类氢原子角度分布图的绘制，分子轨道对称性和反应机理的微机模拟，分子点群和对称元素显示，分子振动运动的微机模拟，布拉维晶格和晶格转化，平面点阵抽取，立体点阵抽取，等径网球的密堆积和金属单质结构，不等径圆球密堆积和典型离子晶体结构，X射线多晶衍射的微机模拟十个子模块。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。